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Finite Controllable MARKOVIAN Model with Balking and Reneging


Author(s):

M.R. Dhakad , Directed of Technical Education Bhopal (India); Madhu Jain, Indian Institute of Technology Roorkee

Keywords:

Controllable Queue, Interdependent rates, Balking, Reneging, Multi- servers, Queue size

Abstract:

This paper presents a study of controllable Markovian queueing system with interdependent rates. The customer’s behavior is incorporated according to which balking and reneging with certain probability is taken into account. The models with finite capacity (FCM) and finite population (FPM) are developed. We derive queue size distribution, which is further employed to derive formulae for average number of customers in the system and the expected waiting times for both models. Some earlier results are deduced by setting suitable parameters.


Other Details:

Manuscript Id :IJSTEV2I8017
Published in :Volume : 2, Issue : 8
Publication Date: 01/03/2016
Page(s): 36-45
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